CN113109780B - High-resolution range profile target identification method based on complex number dense connection neural network - Google Patents
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Abstract
Description
技术领域technical field
本发明属于雷达技术领域,具体涉及一种基于复数密集连接神经网络的高分辨距离像目标识别方法。The invention belongs to the technical field of radar, and in particular relates to a high-resolution range image target recognition method based on a complex densely connected neural network.
背景技术Background technique
雷达目标识别就是利用目标的雷达回波信号,实现对目标类型的判定。宽带雷达通常工作在光学区,此时目标可以看作是由大量强度不同的散射点构成。高分辨距离像(High Resolution Range Profile,简称HRRP)是用宽带雷达信号获取的目标体上各散射点回波的矢量和。它反映了目标体上散射点沿雷达视线的分布情况,包含了目标重要的结构特征,被广泛应用于雷达目标识别领域。Radar target recognition is to use the radar echo signal of the target to realize the determination of the target type. Broadband radar usually works in the optical region, where the target can be seen as a large number of scattered points with different intensities. The High Resolution Range Profile (HRRP) is the vector sum of the echoes of each scattering point on the target obtained by the broadband radar signal. It reflects the distribution of scattering points on the target along the radar line of sight, and contains important structural features of the target, and is widely used in the field of radar target recognition.
从高分辨距离像中提取识别特征,是雷达目标识别系统中的一个重要环节。原始高分辨距离像数据为复数,其中幅度和相位中都包含了丰富的目标细节信息。传统识别方法大多直接对原始的复数高分辨距离像进行取模操作得到实数距离像数据用于识别。近年来,将传统的实数网络向复数域拓展是一个新兴的研究方向。在本专利发明之前,在《基于复数网络的雷达高分辨距离像目标方法研究》(李婉萍)中已经提出了应用于高分辨距离像的复数卷积神经网络和复数残差网络,与实数网络相比识别率取得了不错的提升。Extracting recognition features from high-resolution range images is an important link in radar target recognition systems. The original high-resolution range image data is a complex number, in which both amplitude and phase contain rich target detail information. Most of the traditional recognition methods directly perform the modulo operation on the original complex high-resolution range image to obtain the real range image data for recognition. In recent years, extending the traditional real number network to the complex number domain is an emerging research direction. Before the invention of this patent, in "Research on the Target Method of Radar High Resolution Range Profile Based on Complex Number Network" (Li Wanping), the complex convolutional neural network and the complex residual network applied to the high resolution range profile have been proposed, which are similar to the real number network. The recognition rate has achieved a good improvement.
但是,卷积神经网络和残差神经网络因为基础的网络结构限制,当识别特征比较复杂需要网络层数增多时,容易出现网络退化问题,限制了目标识别性能。However, due to the limitations of the basic network structure of convolutional neural networks and residual neural networks, when the recognition features are more complex and the number of network layers is increased, the problem of network degradation is prone to occur, which limits the performance of target recognition.
发明内容SUMMARY OF THE INVENTION
为了解决现有技术中存在的上述问题,本发明提供了一种基于复数密集连接神经网络的高分辨距离像目标识别方法。In order to solve the above problems existing in the prior art, the present invention provides a high-resolution range image target recognition method based on a complex densely connected neural network.
本发明的一个实施例提供了一种基于复数密集连接神经网络的高分辨距离像目标识别方法,包括:An embodiment of the present invention provides a high-resolution distance image target recognition method based on a complex densely connected neural network, including:
获取雷达距离像数据集;Obtain the radar range image dataset;
对所述雷达距离像数据集进行短时傅里叶变换得到复数时频谱数据集;performing short-time Fourier transform on the radar range image data set to obtain a complex time spectrum data set;
将所述复数时频谱数据集划分为复数时频谱训练数据集、复数时频谱验证数据集;Dividing the complex time spectrum data set into a complex time spectrum training data set and a complex time spectrum verification data set;
构建复数密集连接神经网络;Build complex densely connected neural networks;
利用所述复数时频谱训练数据集训练复数密集连接神经网络,并利用所述复数时频谱验证数据集验证训练的复数密集连接神经网络以得到训练好的复数密集连接神经网络;Use the complex time spectrum training data set to train a complex dense connection neural network, and use the complex time spectrum verification data set to verify the trained complex dense connection neural network to obtain a trained complex dense connection neural network;
利用所述训练好的复数密集连接神经网络对雷达距离像测试数据集进行识别得到目标识别结果。The target recognition result is obtained by identifying the radar range image test data set by using the trained complex densely connected neural network.
在本发明的一个实施例中,将所述复数时频谱数据集划分为复数时频谱训练数据集、复数时频谱验证数据集包括:In an embodiment of the present invention, dividing the complex time spectrum data set into a complex time spectrum training data set and a complex time spectrum verification data set includes:
对所述复数时频谱数据集中每个复数时频谱数据进行实部、虚部分离得到实部时频谱数据集和虚部时频谱数据集;Perform real part and imaginary part separation on each complex time spectrum data in the complex time spectrum data set to obtain a real part time spectrum data set and an imaginary time spectrum data set;
将所述实部时频谱数据集划分为实部时频谱训练数据集、实部时频谱验证数据集;dividing the real-time spectrum data set into a real-time spectrum training data set and a real-time spectrum verification data set;
对应的将所述虚部时频谱数据集划分为虚部时频谱训练数据集、虚部时频谱验证数据集;Correspondingly, the imaginary part time spectrum data set is divided into an imaginary part time spectrum training data set and an imaginary part time spectrum verification data set;
由所述实部时频谱训练数据集、所述虚部时频谱训练数据集对应组成所述复数时频谱训练数据集,由所述实部时频谱验证数据集、所述虚部时频谱验证数据集对应组成所述复数时频谱验证数据集。The complex time spectrum training data set is composed of the real time spectrum training data set and the imaginary time spectrum training data set, and the real time spectrum verification data set and the imaginary time spectrum verification data Sets correspond to composing the complex time-spectrum validation datasets.
在本发明的一个实施例中,构建的所述复数密集连接神经网络包括依次连接的输入层、第一密集块、第一向量拼接层、第二向量拼接层、数据输出预处理块、输出层,所述第一密集块还通过第二密集块与所述第一向量拼接层连接,所述第一向量拼接层还通过第三密集块与所述第二向量拼接层连接。In an embodiment of the present invention, the constructed complex densely connected neural network includes an input layer, a first dense block, a first vector splicing layer, a second vector splicing layer, a data output preprocessing block, and an output layer that are connected in sequence. , the first dense block is further connected to the first vector splicing layer through a second dense block, and the first vector splicing layer is further connected to the second vector splicing layer through a third dense block.
在本发明的一个实施例中,所述第一密集块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、复数批归一化层、复数激活函数层、复数卷积层。In an embodiment of the present invention, the first dense block includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a complex batch normalization layer, a complex activation function layer, a complex convolution layer connected in sequence Laminate.
在本发明的一个实施例中,所述第二密集块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、复数批归一化层、复数激活函数层、复数卷积层。In one embodiment of the present invention, the second dense block includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a complex batch normalization layer, a complex activation function layer, a complex convolution layer connected in sequence Laminate.
在本发明的一个实施例中,所述第三密集块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、复数批归一化层、复数激活函数层、复数卷积层。In an embodiment of the present invention, the third dense block includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a complex batch normalization layer, a complex activation function layer, a complex convolution layer connected in sequence Laminate.
在本发明的一个实施例中,所述数据输出预处理块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、扁平一维化层、全连接层、复数批归一化层、全连接层、激活函数层。In one embodiment of the present invention, the data output preprocessing block includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a flat one-dimensionalization layer, a fully connected layer, and a complex batch normalization layer connected in sequence. Unification layer, fully connected layer, activation function layer.
在本发明的一个实施例中,利用所述复数时频谱训练数据集训练复数密集连接神经网络包括:In one embodiment of the present invention, training a complex densely connected neural network using the complex time-spectral training data set includes:
利用所述实部时频谱训练数据集、所述虚部时频谱训练数据集训练复数密集连接神经网络。The complex densely connected neural network is trained by using the real part time spectrum training data set and the imaginary part time spectrum training data set.
在本发明的一个实施例中,利用所述复数时频谱验证数据集验证训练的复数密集连接神经网络包括:In one embodiment of the present invention, verifying the trained complex densely connected neural network using the complex time-spectrum verification dataset includes:
利用所述实部时频谱验证数据集、所述虚部时频谱验证数据集验证训练的复数密集连接神经网络。The trained complex densely connected neural network is verified using the real time-spectrum verification data set and the imaginary time-spectrum verification data set.
在本发明的一个实施例中,利用所述训练好的复数密集连接神经网络对雷达距离像测试数据集进行识别得到目标识别结果包括:In an embodiment of the present invention, using the trained complex densely connected neural network to identify the radar range image test data set to obtain the target identification result includes:
对所述雷达距离像测试数据集进行短时傅里叶变换得到复数时频谱测试数据集;Performing short-time Fourier transform on the radar range image test data set to obtain a complex time spectrum test data set;
对所述复数时频谱测试数据集中每个复数时频谱测试数据进行实部、虚部分离得到实部时频谱测试数据集和虚部时频谱测试数据集;Perform real part and imaginary part separation to obtain real part time spectrum test data set and imaginary part time spectrum test data set in each complex time spectrum test data set in the described complex number time spectrum test data set;
将所述实部时频谱测试数据集和所述虚部时频谱测试数据集输入所述训练好的复数密集连接神经网络进行识别得到所述目标识别结果。The target recognition result is obtained by inputting the real-part time-spectrum test data set and the imaginary-part time-spectrum test data set into the trained complex densely connected neural network for identification.
与现有技术相比,本发明的有益效果:Compared with the prior art, the beneficial effects of the present invention:
本发明提供的基于复数密集连接神经网络的高分辨距离像目标识别方法,利用构建的复数密集连接神经网络能够针对复数高分辨距离像进行训练和识别,充分利用信号中的特征结构,从而提高网络的识别精度。The high-resolution range image target recognition method based on the complex densely connected neural network provided by the present invention can use the constructed complex densely connected neural network to train and recognize the complex high-resolution range image, and make full use of the characteristic structure in the signal, thereby improving the network performance. recognition accuracy.
以下将结合附图及实施例对本发明做进一步详细说明。The present invention will be further described in detail below with reference to the accompanying drawings and embodiments.
附图说明Description of drawings
图1是本发明实施例提供的一种基于复数密集连接神经网络的高分辨距离像目标识别方法的流程示意图;1 is a schematic flowchart of a high-resolution range image target recognition method based on a complex densely connected neural network provided by an embodiment of the present invention;
图2是本发明实施例提供的一种基于复数密集连接神经网络的高分辨距离像目标识别方法中复数密集连接神经网络的结构示意图;2 is a schematic structural diagram of a complex densely connected neural network in a high-resolution range image target recognition method based on a complex densely connected neural network provided by an embodiment of the present invention;
图3是本发明实施例提供的一种基于复数密集连接神经网络的高分辨距离像目标识别方法中另一种复数密集连接神经网络的结构示意图;3 is a schematic structural diagram of another complex densely connected neural network in a high-resolution range image target recognition method based on a complex densely connected neural network provided by an embodiment of the present invention;
图4是本发明实施例提供的几种目标识别方法的正确识别率对比结果示意图;4 is a schematic diagram of a comparison result of correct recognition rates of several target recognition methods provided by an embodiment of the present invention;
图5是本发明实施例提供的对所有目标识别过程中的识别率变化曲线示意图;5 is a schematic diagram of the change curve of the recognition rate in all target recognition processes provided by an embodiment of the present invention;
图6是本发明实施例提供的对所有目标识别过程中的损失值变化曲线示意图。FIG. 6 is a schematic diagram of change curves of loss values in the process of identifying all targets provided by an embodiment of the present invention.
具体实施方式Detailed ways
下面结合具体实施例对本发明做进一步详细的描述,但本发明的实施方式不限于此。The present invention will be described in further detail below with reference to specific embodiments, but the embodiments of the present invention are not limited thereto.
实施例一Example 1
请参见图1,图1是本发明实施例提供的一种基于复数密集连接神经网络的高分辨距离像目标识别方法的流程示意图。本实施例提出了一种基于复数密集连接神经网络的高分辨距离像目标识别方法,该基于复数密集连接神经网络的高分辨距离像目标识别方法包括以下步骤:Please refer to FIG. 1. FIG. 1 is a schematic flowchart of a high-resolution range image target recognition method based on a complex densely connected neural network provided by an embodiment of the present invention. This embodiment proposes a high-resolution range image target recognition method based on a complex densely connected neural network, and the high-resolution range image target recognition method based on a complex densely connected neural network includes the following steps:
步骤1、获取雷达距离像数据集。Step 1. Obtain the radar range image dataset.
具体而言,雷达高分辨距离像HRRP是用宽带雷达信号获取的目标体上各散射点回波的矢量和,它反映了目标体上散射点沿雷达视线的分布情况,包含了目标重要的结构特征。原始高分辨距离像数据为复数,不仅可以体现非常多的目标结构信息,还拥有快速处理、容易获取的优势。本实施例通过获取若干雷达距离像数据得到雷达距离像数据集。Specifically, the radar high-resolution range profile (HRRP) is the vector sum of the echoes of each scattering point on the target obtained by the broadband radar signal. It reflects the distribution of the scattering points on the target along the radar line of sight and includes important structures of the target. feature. The original high-resolution range image data is complex, which not only can reflect a lot of target structure information, but also has the advantages of fast processing and easy acquisition. In this embodiment, a radar range image data set is obtained by acquiring several radar range image data.
步骤2、对雷达距离像数据集进行短时傅里叶变换得到复数时频谱数据集。Step 2: Perform short-time Fourier transform on the radar range image data set to obtain a complex time spectrum data set.
具体而言,本实施例对雷达高分辨距离像做短时傅里叶变换得到其复数时频谱数据,短时傅里叶将时域信号转换到频域可以获取更多的信号细节。而在对雷达距离像数据集进行短时傅里叶变换之前,还可以将雷达距离像数据集中的每个雷达距离像数据采用绝对对齐的方法,对零相位进行对齐,主要操作就是将原始数据的频点移到频谱中心,克服平移敏感性。对齐处理后,为了克服强度敏感性采用强度归一化的方法,则对齐后的雷达距离像数据在维度k上的幅度归一化表示为:Specifically, in this embodiment, the radar high-resolution range image is subjected to short-time Fourier transform to obtain its complex time spectrum data, and the short-time Fourier transforms the time domain signal to the frequency domain to obtain more signal details. Before performing the short-time Fourier transform on the radar range image data set, each radar range image data in the radar range image data set can also be absolutely aligned to align the zero phase. The main operation is to convert the original data. to move the frequency point to the center of the spectrum, overcoming translation sensitivity. After the alignment processing, in order to overcome the intensity sensitivity, the intensity normalization method is adopted, and the amplitude normalization of the aligned radar range image data on the dimension k is expressed as:
其中,fk表示雷达距离像数据在维度k上的幅度,表示雷达距离像数据在维度k上的归一化幅度。本实施例对上述绝对对齐、归一化得到的数据进行短时傅里叶变换得到其复数时频谱数据h,其中,h是m×n的复数矩阵,对每个绝对对齐、归一化的数据进行短时傅里叶变换得到复数时频谱数据集。短时傅立叶变换是将信号加滑动时间窗,并对窗内信号做傅立叶变换得到信号的时频谱数据,因而它的时间分辨率和频率分辨率受Heisenberg测不准原理约束,一旦窗函数选定,时频分辨率便确定下来,具体通过短时傅里叶变换得到的每个复数时频谱数据表示为:where f k represents the magnitude of the radar range image data on dimension k, Represents the normalized magnitude of the radar range image data in dimension k. In this embodiment, short-time Fourier transform is performed on the data obtained by the above absolute alignment and normalization to obtain the complex time spectrum data h, where h is an m×n complex number matrix. The data is subjected to a short-time Fourier transform to obtain a complex-time spectral dataset. The short-time Fourier transform is to add a sliding time window to the signal, and perform Fourier transform on the signal in the window to obtain the time spectrum data of the signal. Therefore, its time resolution and frequency resolution are constrained by the Heisenberg uncertainty principle. Once the window function is selected , the time-frequency resolution is determined. Specifically, each complex time-frequency spectrum data obtained by short-time Fourier transform is expressed as:
其中,τ表示时间,ω表示频率,f(·)表示需要进行短时傅里叶变换的绝对对齐、归一化后的雷达距离像数据,L(·)表示短时傅里叶变换中所使用的汉明窗函数。比如设定窗函数为海明窗,重叠间隔为0,窗函数长度为32,傅里叶点数为16,最后获得大小为32×15的复数时频谱数据。Among them, τ represents time, ω represents frequency, f( ) represents the absolute alignment and normalized radar range image data that needs to be subjected to short-time Fourier transform, and L( ) represents the data in the short-time Fourier transform. The Hamming window function used. For example, set the window function as a Hamming window, the overlap interval as 0, the window function length as 32, and the number of Fourier points as 16, and finally obtain complex time spectrum data with a size of 32×15.
步骤3、将复数时频谱数据集划分为复数时频谱训练数据集、复数时频谱验证数据集。Step 3: Divide the complex time spectrum data set into a complex time spectrum training data set and a complex time spectrum verification data set.
具体而言,本实施例步骤2得到的复数时频谱数据集中每个复数时频谱数据,可以表示为h=x+yi,其中,x是m×n的实数矩阵,y是m×n的实数矩阵,则将复数时频谱数据集划分为复数时频谱训练数据集、复数时频谱验证数据集具体包括:Specifically, each complex time spectrum data in the complex time spectrum data set obtained in step 2 of this embodiment can be expressed as h=x+yi, where x is an m×n real number matrix, and y is an m×n real number matrix, the complex time spectrum data set is divided into the complex time spectrum training data set and the complex time spectrum verification data set, including:
对复数时频谱数据集中每个复数时频谱数据进行实部、虚部分离得到实部时频谱数据集和虚部时频谱数据集;将实部时频谱数据集划分为实部时频谱训练数据集、实部时频谱验证数据集;对应的将虚部时频谱数据集划分为虚部时频谱训练数据集、虚部时频谱验证数据集;由实部时频谱训练数据集、虚部时频谱训练数据集对应组成复数时频谱训练数据集,由实部时频谱验证数据集、虚部时频谱验证数据集对应组成复数时频谱验证数据集。比如本实施例处理三类飞机数据,按照30:1的比例抽样分成复数时频谱训练数据集、复数时频谱验证数据集,即实部时频谱训练数据集、实部时频谱验证数据集比例为30:1,对应的虚部时频谱训练数据集、虚部时频谱验证数据集比例为30:1,并且分别分为大小固定的批次,每个批次包含100个信号,分别用于后续复数密集连接神经网络的训练与验证。Separate the real and imaginary parts of each complex time spectrum data set in the complex time spectrum data set to obtain the real time spectrum data set and the imaginary time spectrum data set; divide the real time spectrum data set into real time spectrum training data sets , real part time spectrum verification data set; correspondingly, the imaginary part time spectrum data set is divided into imaginary part time spectrum training data set and imaginary part time spectrum verification data set; The data set corresponds to the complex time spectrum training data set, and the real part time spectrum verification data set and the imaginary part time spectrum verification data set correspond to form the complex time spectrum verification data set. For example, in this embodiment, three types of aircraft data are processed and divided into complex time spectrum training data set and complex time spectrum verification data set according to the ratio of 30:1, that is, the ratio of real part time spectrum training data set and real part time spectrum verification data set is: 30:1, the ratio of the corresponding imaginary part time spectrum training data set and imaginary part time spectrum verification data set is 30:1, and they are divided into batches of fixed size, each batch contains 100 signals, which are used for subsequent Training and validation of complex densely connected neural networks.
步骤4、构建复数密集连接神经网络。Step 4. Build a complex densely connected neural network.
具体而言,请参见图2,图2是本发明实施例提供的一种基于复数密集连接神经网络的高分辨距离像目标识别方法中复数密集连接神经网络的结构示意图,本实施例构建的复数密集连接神经网络包括依次连接的输入层、第一密集块、第一向量拼接层、第二向量拼接层、数据输出预处理块、输出层,第一密集块还通过第二密集块与第一向量拼接层连接,第一向量拼接层还通过第三密集块与第二向量拼接层连接。本实施例搭建具有实部与虚部双通道的复数密集连接神经网络,该复数密集连接神经网络的输入为实部矩阵x和虚部矩阵y。搭建的双通道的复数密集连接神经网络,将每一个密集块都通过一条线路直接相连,这样从早期层到后期层都存在直连的短路径,可以使得网络层级之间信息流动达到最大,防止了复数密集连接神经网络的退化问题。复数密集连接神经网络接收信号h=x+yi的实部矩阵x和虚部矩阵y,网络中初始化复数卷积核w=a+bi也分为实部矩阵a和虚部矩阵b,分别和网络接收信号的实部矩阵和虚部矩阵进行卷积,最后卷积结果为w*h=(a*x-b*y)+i(b*x+a*y)。其中,复数密集连接神经网络中初始化的复数参数可以表示为模值与相位的乘积w=|w|eiθ,w的方差可以通过公式计算得到,Var(·)表示求方差,E(·)表示求期望,可以看出,w的方差只取决于模值与相位无关,所以在复数参数初始化中,本实施例使用合适的参数为σ的瑞利分布初始化复数参数w的模值,然后再使用在(-π,π)上的均匀分布初始化相位,为了保持输入输出的方差和网络训练中的梯度一致,初始化时设其中,Nin、Nout分别表示网络中输入、输出的样本个数。Specifically, please refer to FIG. 2. FIG. 2 is a schematic structural diagram of a complex densely connected neural network in a high-resolution range image target recognition method based on a complex densely connected neural network provided by an embodiment of the present invention. The densely connected neural network includes an input layer, a first dense block, a first vector splicing layer, a second vector splicing layer, a data output preprocessing block, and an output layer that are sequentially connected. The first dense block is also connected to the first dense block through the second dense block. The vector splicing layer is connected, and the first vector splicing layer is also connected with the second vector splicing layer through the third dense block. In this embodiment, a complex densely connected neural network with dual channels of real and imaginary parts is constructed, and the input of the complex densely connected neural network is a real part matrix x and an imaginary part matrix y. The two-channel complex densely connected neural network is built, and each dense block is directly connected by a line, so that there is a short path directly connected from the early layer to the later layer, which can maximize the flow of information between network layers and prevent The degradation problem of complex densely connected neural networks. The complex densely connected neural network receives the real part matrix x and imaginary part matrix y of the signal h=x+yi, and the initial complex convolution kernel w=a+bi in the network is also divided into real part matrix a and imaginary part matrix b, respectively and The real part matrix and the imaginary part matrix of the signal received by the network are convolved, and the final convolution result is w*h=(a*xb*y)+i(b*x+a*y). Among them, the complex parameters initialized in the complex densely connected neural network can be expressed as the product of the modulus and the phase w=|w|e iθ , and the variance of w can be obtained by Calculated by the formula, Var( ) represents the variance, and E( ) represents the expectation. It can be seen that the variance of w only depends on the modulus value and has nothing to do with the phase. Therefore, in the initialization of complex parameters, this embodiment uses appropriate parameters Initialize the modulo value of the complex parameter w for the Rayleigh distribution of σ, and then use the uniform distribution on (-π, π) to initialize the phase. In order to keep the variance of the input and output consistent with the gradient in the network training, set Among them, N in and N out represent the number of input and output samples in the network, respectively.
进一步地,请参见图3,图3是本发明实施例提供的一种基于复数密集连接神经网络的高分辨距离像目标识别方法中另一种复数密集连接神经网络的结构示意图,本实施例第一密集块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、复数批归一化层、复数激活函数层、复数卷积层,具体比如复数激活函数层的激活函数均为CReLU激活函数,复数卷积层的均有32个卷积核,每个卷积核大小的为1*3、卷积步长为2,复数批归一化层的归一化为BN归一化函数。本实施例中第一密集块对步骤3输入的实部时频谱训练数据集、虚部时频谱训练数据集进行上述依次连接层的处理。其中,对于复数批归一化层,为了将每个复数时频谱训练数据归一化为服从标准的正态分布,本实施例首先将复数时频谱训练数据h归一化表示为:Further, please refer to FIG. 3. FIG. 3 is a schematic structural diagram of another complex densely connected neural network in a high-resolution range image target recognition method based on a complex densely connected neural network provided by an embodiment of the present invention. A dense block includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a complex batch normalization layer, a complex activation function layer, and a complex convolution layer connected in sequence, such as the activation function of the complex activation function layer. All are CReLU activation functions. The complex convolution layers have 32 convolution kernels. The size of each convolution kernel is 1*3 and the convolution stride is 2. The complex batch normalization layer is normalized to BN. Normalization function. In this embodiment, the first dense block performs the above-mentioned sequential connection layer processing on the real-part time-spectrum training data set and the imaginary-part time-spectrum training data set input in step 3 . Among them, for the complex batch normalization layer, in order to normalize each complex time spectrum training data to obey the standard normal distribution, this embodiment first normalizes the complex time spectrum training data h as:
其中,V代表2×2的协方差矩阵,Cov(·)表示求取协方差,E(·)表示求期望,R(·)表示取复数数据的实部,S(·)表示取复数数据的虚部。在归一化后,与实数数据的批归一化类似,我们也引入尺度系数和偏置两个变量,最终的复数批归一化公式为其中,表示归一化后的复数时频谱训练数据;γ代表尺度系数,为一大小为2×2的半正定矩阵,β表示偏置参数,为一具有两个学习度(虚部和实部)的复数参数。在初始化中,因为复数数据的实部和虚部方差都是1,所以设γri=0,β=0。where V represents the 2×2 covariance matrix, Cov(·) represents finding covariance, E(·) represents finding expectation, R(·) represents finding real part of complex data, and S(·) represents finding imaginary part of complex data. After normalization, similar to batch normalization of real data, we also introduce two variables, scale coefficient and bias, and the final complex batch normalization formula is in, represents the normalized complex time spectral training data; γ represents the scale coefficient, which is a positive semi-definite matrix of size 2 × 2, and β represents the bias parameter, which is a matrix with two learning degrees (imaginary part and real part). Plural parameters. in initialization, because complex data The variances of the real and imaginary parts are both 1, so let γ ri =0, β=0.
对于复数激活函数层,分别在实部和虚部使用ReLU函数,当复数数据的实部和虚部同时大于0或小于0时,该激活函数满足柯西-黎曼方程,具体激活函数表示为:For the complex activation function layer, the ReLU function is used in the real and imaginary parts respectively. When the real and imaginary parts of the complex data are greater than 0 or less than 0 at the same time, the activation function satisfies the Cauchy-Riemann equation. The specific activation function is expressed as :
CReLU(z)=ReLU(R(z))+iReLU(S(z));CReLU(z)=ReLU(R(z))+iReLU(S(z));
其中,R(·)表示取复数数据的实部,S(·)表示取复数数据的虚部。Among them, R(·) represents taking the real part of complex data, and S(·) represents taking the imaginary part of complex data.
对于复数卷积层,将实部和虚部看作两个不同逻辑意义的实数部分,分别通过不同的通道输入二维卷积层,将复数数据抽象表示为:For the complex convolution layer, the real part and the imaginary part are regarded as two real parts with different logical meanings, and the two-dimensional convolution layer is input through different channels respectively, and the complex data is abstractly expressed as:
h=x+yi;h=x+yi;
其中,h表示为复数数据整体,本实施例里为复数密集连接神经网络的输入复数时频谱数据集中每个复数时频谱数据,x表示为复数数据的实部,y表示复数数据的虚部,i表示虚部单位。为了使卷积操作在复数域可以实现和实数域相同的效果,采用的卷积核也为复数滤波矩阵表示为:Among them, h represents the whole complex data, in this embodiment is the input complex time spectral data of the complex densely connected neural network for each complex time spectral data set, x represents the real part of the complex data, y represents the imaginary part of the complex data, i represents the imaginary unit. In order to make the convolution operation in the complex domain to achieve the same effect as the real domain, the used convolution kernel is also a complex filter matrix expressed as:
w=a+bi;w=a+bi;
其中,a代表实部矩阵,b代表虚部矩阵,i代表虚部单位。复数卷积的具体操作是复数的实部虚部与卷积核的实部虚部这四个部分分别两两交叉卷积,实部部分取相减的结果,虚数部分取相加的结果,计算公式表示为:Among them, a represents the real part matrix, b represents the imaginary part matrix, and i represents the imaginary part unit. The specific operation of complex convolution is that the four parts of the real and imaginary parts of the complex number and the real and imaginary parts of the convolution kernel are cross-convolved in pairs. The real part takes the result of subtraction, and the imaginary part takes the result of addition. The calculation formula is expressed as:
w*h=(a*x-b*y)+(b*x+a*y)i;w*h=(a*x-b*y)+(b*x+a*y)i;
将上式改写为矩阵形式表示为:Rewrite the above formula in matrix form as:
其中,R(·)表示取复数数据的实部,S(·)表示取复数数据的虚部。Among them, R(·) represents taking the real part of complex data, and S(·) represents taking the imaginary part of complex data.
进一步地,请再参见图3,本实施例第二密集块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、复数批归一化层、复数激活函数层、复数卷积层。本实施例中第二密集块对第一密集块处理输出的复数数据集进行上述依次连接层的处理,具体连接层的实现与第一密集块处理类似,在此不再赘述。Further, referring to FIG. 3 again, the second dense block in this embodiment includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a complex batch normalization layer, a complex activation function layer, a complex number activation function layer, and a complex number batch normalization layer. convolutional layer. In this embodiment, the second dense block performs the above-mentioned sequential connection layer processing on the complex data set output by the first dense block processing. The implementation of the specific connection layer is similar to that of the first dense block processing, which is not repeated here.
进一步地,请再参见图3,本实施例第三密集块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、复数批归一化层、复数激活函数层、复数卷积层。本实施例中第三密集块,对第二密集块处理输出的复数数据集与对第一密集块处理输出的复数数据集通过第一向量拼接层进行拼接处理后,进行上述依次连接层的处理,具体连接层的实现与第一密集块、第二密集块处理类似,在此不再赘述。Further, referring to FIG. 3 again, the third dense block of the present embodiment includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a complex batch normalization layer, a complex activation function layer, a complex number activation function layer, and a complex number batch normalization layer. convolutional layer. In the third dense block in this embodiment, after the complex data set output by processing the second dense block and the complex data set output by processing the first dense block are spliced through the first vector splicing layer, the above-mentioned sequential connection layer processing is performed. , the implementation of the specific connection layer is similar to the processing of the first dense block and the second dense block, which is not repeated here.
进一步地,请再参见图3,本实施例数据输出预处理块包括依次连接的复数批归一化层、复数激活函数层、复数卷积层、扁平一维化层、全连接层、复数批归一化层、全连接层、激活函数层。本实施例中数据输出预处理块,对第三密集块处理输出的复数数据集与对第二密集块处理输出的复数数据集通过第二向量拼接层进行拼接处理后,进行上述依次连接层的处理,具体连接层中复数批归一化层、复数激活函数层、复数卷积层的实现与第一密集块、第二密集块、第三密集块处理类似,以及扁平一维化层、全连接层为常规处理,与扁平一维化层连接的全连接层将维度缩小到300,与复数批归一化层连接的全连接层将维度缩小到3,数据输出预处理块中作为输出的激活函数层的激活函数为softmax激活函数,对维度为3的向量进行判断是哪一类,进行分类的输出,具体每一层细节实现在此不再赘述。Further, please refer to FIG. 3 again, the data output preprocessing block of this embodiment includes a complex batch normalization layer, a complex activation function layer, a complex convolution layer, a flat one-dimensional layer, a fully connected layer, and a complex batch that are sequentially connected. Normalization layer, fully connected layer, activation function layer. In the data output preprocessing block in this embodiment, after the complex data set output by the third dense block processing and the complex data set output by the second dense block processing are spliced through the second vector splicing layer, the above sequential connection layer is performed. Processing, the implementation of the complex batch normalization layer, complex activation function layer, and complex convolution layer in the specific connection layer is similar to the processing of the first dense block, the second dense block, and the third dense block, as well as the flat one-dimensional layer, the full The connection layer is conventional processing, the fully connected layer connected with the flat one-dimensional layer reduces the dimension to 300, the fully connected layer connected with the complex batch normalization layer reduces the dimension to 3, and the data output in the preprocessing block is used as the output The activation function of the activation function layer is the softmax activation function, which is the type of the vector with the dimension of 3, and the output of the classification. The specific implementation of each layer will not be repeated here.
步骤5、利用复数时频谱训练数据集训练复数密集连接神经网络,并利用复数时频谱验证数据集验证训练的复数密集连接神经网络以得到训练好的复数密集连接神经网络。Step 5, using the complex time spectrum training data set to train the complex densely connected neural network, and using the complex time spectrum verification data set to verify the trained complex densely connected neural network to obtain a trained complex densely connected neural network.
具体而言,本实施例利用复数时频谱训练数据集训练复数密集连接神经网络,由于复数时频谱训练数据集包括实部时频谱训练数据集、虚部时频谱训练数据集,则利用实部时频谱训练数据集、虚部时频谱训练数据集训练复数密集连接神经网络。本实施例利用实部时频谱训练数据集、虚部时频谱训练数据集对复数密集连接神经网络进行精度的训练,使复数密集连接神经网络逐步拟合,可以准确提取信号中的不同结构特征。Specifically, the present embodiment uses the complex time spectrum training data set to train the complex densely connected neural network. Since the complex time spectrum training data set includes the real time spectrum training data set and the imaginary time spectrum training data set, the real time spectrum training data set is used. The spectral training dataset, the imaginary time spectral training dataset trains a complex densely connected neural network. This embodiment uses the real part time spectrum training data set and the imaginary part time spectrum training data set to accurately train the complex densely connected neural network, so that the complex densely connected neural network is gradually fitted, and different structural features in the signal can be accurately extracted.
进一步地,本实施例利用复数时频谱验证数据集验证训练的复数密集连接神经网络,同样由于实部时频谱验证数据集、虚部时频谱验证数据集,则利用实部时频谱验证数据集、虚部时频谱验证数据集验证训练的复数密集连接神经网络。每次训练所有实部时频谱训练数据集、虚部时频谱训练数据集,对应的都使用实部时频谱验证数据集、虚部时频谱验证数据集数据进行验证,若验证结果为下降,则说明网络训练出现了过拟合,表明网络训练参数需要进行调整。经过多次调整,最后确定本实施例复数密集连接神经网络的最佳的网络参数,最终得到训练好的复数密集连接神经网络。Further, the present embodiment utilizes the complex time-spectrum verification data set to verify the training of the complex densely connected neural network, also due to the real-time spectrum verification data set and the imaginary-part time-spectrum verification data set, the real-time spectrum verification data set, The imaginary time-spectral validation dataset validates the trained complex densely connected neural network. Each training of all real-time spectrum training datasets and imaginary-time spectrum training datasets, correspondingly use real-time spectrum validation datasets and imaginary-time spectrum validation datasets for validation. If the validation result is a drop, then It shows that the network training has over-fitting, indicating that the network training parameters need to be adjusted. After many adjustments, the optimal network parameters of the complex densely connected neural network in this embodiment are finally determined, and finally a trained complex densely connected neural network is obtained.
本实施例为了可以更多的利用原始复数雷达距离像数据中的信息,但由于直接使用复数雷达距离像数据,在网络中数据计算量会非常巨大,影响网络的学习速度,本实施例为了兼顾尽可能多的利用复数雷达距离像数据信息,以及网络的学习速度,所以采用将雷达距离像数据中实部和虚部分开输入双通道网络,即分别输入复数密集连接神经网络进行训练。In this embodiment, in order to make more use of the information in the original complex radar range image data, because the complex radar range image data is directly used, the amount of data calculation in the network will be very large, which will affect the learning speed of the network. The data information of the complex radar range image and the learning speed of the network are used as much as possible, so the real part and the imaginary part of the radar range image data are separately input into the dual-channel network, that is, the complex densely connected neural network is separately input for training.
步骤6、利用训练好的复数密集连接神经网络对雷达距离像测试数据集进行识别得到目标识别结果。Step 6: Use the trained complex densely connected neural network to identify the radar range image test data set to obtain the target identification result.
具体而言,本实施例利用训练好的复数密集连接神经网络对雷达距离像测试数据集进行识别得到目标识别结果。对于任何雷达距离像测试数据,均需要像雷达距离像训练数据集、雷达距离像验证数据集进行类似处理,具体地:对雷达距离像测试数据集进行短时傅里叶变换得到复数时频谱测试数据集;对复数时频谱测试数据集中每个复数时频谱测试数据进行实部、虚部分离得到实部时频谱测试数据集和虚部时频谱测试数据集;将实部时频谱测试数据集和虚部时频谱测试数据集输入训练好的复数密集连接神经网络进行识别得到目标识别结果。其中,对复数时频谱测试数据集进行短时傅里叶变换,以及对复数时频谱测试数据集中复数时频谱测试数据进行实部、虚部分离的具体过程,与雷达距离像训练数据集、雷达距离像验证数据集处理类似,在此不再赘述。Specifically, in this embodiment, the trained complex densely connected neural network is used to identify the radar range profile test data set to obtain the target identification result. For any radar range profile test data, similar processing is required for the radar range profile training data set and the radar range profile validation data set, specifically: performing short-time Fourier transform on the radar range profile test data set to obtain a complex time spectrum test Data set; separate the real part and imaginary part of each complex time spectrum test data set in the complex time spectrum test data set to obtain the real part time spectrum test data set and the imaginary part time spectrum test data set; The imaginary part time spectrum test data set is input to the trained complex densely connected neural network for recognition to obtain the target recognition result. Among them, the specific process of performing short-time Fourier transform on the complex time spectrum test data set, and the specific process of separating the real part and imaginary part of the complex time spectrum test data in the complex time spectrum test data set, and the radar distance image training data set, radar The distance is similar to the processing of the validation dataset and will not be repeated here.
为了验证本实施例提出的基于复数密集连接神经网络的高分辨距离像目标识别方法的有效性,通过以下对实测数据的实验进一步说明。In order to verify the effectiveness of the high-resolution range image target recognition method based on the complex densely connected neural network proposed in this embodiment, the following experiments on measured data are further explained.
1、实验内容1. Experiment content
本实验采用三类飞机目标的高分辨距离像来训练识别系统。三类飞机目标的参数和录取三类飞机目标高分辨距离像的雷达参数如表1所示。In this experiment, high-resolution range images of three types of aircraft targets are used to train the recognition system. The parameters of the three types of aircraft targets and the radar parameters of the high-resolution range images of the three types of aircraft targets are shown in Table 1.
表1三类飞机目标的参数和雷达参数Table 1 Parameters and radar parameters of three types of aircraft targets
表1中,“雅克-42”飞机目标包含七段高分辨距离像数据,“安-26”飞机目标包含七段高分辨距离像数据,“奖状”飞机目标包含五段高分辨距离像数据。本实验选取“雅克-42”飞机目标的第二段和第五段高分辨距离像数据、“奖状”飞机目标的第六段和第七段高分辨距离像数据以及“安-26”飞机目标的第五段和第六段高分辨距离像数据作为训练识别系统的训练样本,剩余的数据作为测试识别系统性能的测试样本。所有高分辨距离像数据均为256个距离单元。In Table 1, the "Yacques-42" aircraft target contains seven segments of high-resolution range image data, the "An-26" aircraft target contains seven segments of high-resolution range image data, and the "Citation" aircraft target contains five segments of high-resolution range image data. In this experiment, the second and fifth high-resolution range image data of the "Yacques-42" aircraft target, the sixth and seventh high-resolution range image data of the "Citation" aircraft target, and the "An-26" aircraft target were selected. The fifth and sixth sections of high-resolution range image data are used as training samples for training the recognition system, and the remaining data are used as test samples for testing the performance of the recognition system. All high-resolution range image data are 256 range units.
同时,本实施例在上述三类飞机目标测试数据下,本发明基于时频谱的复数密集连接神经网络和分别在传统的基于高分辨距离像的经典实数卷积神经网络、经典实数密集连接神经网络、复数卷积神经网络共四种方法进来实验测试对比。At the same time, under the test data of the above-mentioned three types of aircraft targets in this embodiment, the complex densely connected neural network based on the time spectrum of the present invention and the traditional high-resolution range image-based classical real convolutional neural network and classical real densely connected neural network are respectively used. , A total of four methods of complex convolutional neural network are used for experimental test comparison.
2、实验结果分析2. Analysis of experimental results
请参见图4,图4是本发明实施例提供的几种目标识别方法的正确识别率对比结果示意图,从图4中可以看出,基于时频谱的复数密集连接神经网络的识别率约为98.21%,明显高于基于高分辨距离像的经典实数卷积神经网络的94.6%与基于高分辨距离像的经典实数密集连接神经网络的94.19%,与基于高分辨距离像的复数卷积神经网络的识别率97.6%相比,也得到了较明显的提升。Please refer to FIG. 4. FIG. 4 is a schematic diagram of the comparison results of the correct recognition rates of several target recognition methods provided by the embodiment of the present invention. It can be seen from FIG. 4 that the recognition rate of the time-spectrum-based complex densely connected neural network is about 98.21 %, significantly higher than 94.6% of the classical real number convolutional neural network based on high-resolution range profile and 94.19% of the classical real number densely connected neural network based on high-resolution range profile, and 94.19% of the high-resolution range profile-based complex convolutional neural network. Compared with the recognition rate of 97.6%, it has also been significantly improved.
请参见图5、图6,图5是本发明实施例提供的对所有目标识别过程中的识别率变化曲线示意图,图6是本发明实施例提供的对所有目标识别过程中的损失值变化曲线示意图,从图5和图6可以看出,本实施例不再直接对原信号直接取模得到实数信号,而是分别对原信号的实部和虚部加以利用,并在各层网络结构中搭建直连的线路,从而保留了更多原始信号中的目标结构信息,有助于网络的识别精度提升。Please refer to FIG. 5 and FIG. 6 . FIG. 5 is a schematic diagram of the change curve of the recognition rate in the process of recognizing all targets provided by the embodiment of the present invention, and FIG. 6 is the change curve of the loss value in the process of recognizing all the targets provided by the embodiment of the present invention. It can be seen from Figure 5 and Figure 6 that this embodiment no longer directly modulates the original signal to obtain a real number signal, but uses the real part and imaginary part of the original signal respectively, and in each layer of the network structure A direct connection is built, thereby retaining more target structure information in the original signal, which helps to improve the recognition accuracy of the network.
综上所述,本实施例提供的基于复数密集连接神经网络的高分辨距离像目标识别方法,利用构建的复数密集连接神经网络能够针对复数高分辨距离像进行训练和识别,采用的复数密集连接神经网络因为直连的结构则可以较好的应对退化问题,并且本实施例中识别网络是基于时频谱的,相较于基于高分辨距离像的识别网络,可以识别的特征细节更多,充分利用信号中的特征结构,从而提高识别网络的精度。To sum up, the high-resolution range image target recognition method based on the complex densely connected neural network provided in this embodiment can use the constructed complex densely connected neural network to train and recognize the complex high-resolution range image. The neural network can better cope with the degradation problem because of the direct connection structure, and the recognition network in this embodiment is based on time spectrum. Compared with the recognition network based on high-resolution range images, it can recognize more features and details The feature structure in the signal is used to improve the accuracy of the recognition network.
以上内容是结合具体的优选实施方式对本发明所作的进一步详细说明,不能认定本发明的具体实施只局限于这些说明。对于本发明所属技术领域的普通技术人员来说,在不脱离本发明构思的前提下,还可以做出若干简单推演或替换,都应当视为属于本发明的保护范围。The above content is a further detailed description of the present invention in combination with specific preferred embodiments, and it cannot be considered that the specific implementation of the present invention is limited to these descriptions. For those of ordinary skill in the technical field of the present invention, without departing from the concept of the present invention, some simple deductions or substitutions can be made, which should be regarded as belonging to the protection scope of the present invention.
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Citations (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106934419A (en) * | 2017-03-09 | 2017-07-07 | 西安电子科技大学 | Classification of Polarimetric SAR Image method based on plural profile ripple convolutional neural networks |
CN107728142A (en) * | 2017-09-18 | 2018-02-23 | 西安电子科技大学 | Radar High Range Resolution target identification method based on two-dimensional convolution network |
CN109086700A (en) * | 2018-07-20 | 2018-12-25 | 杭州电子科技大学 | Radar range profile's target identification method based on depth convolutional neural networks |
CN109376574A (en) * | 2018-08-14 | 2019-02-22 | 西安电子科技大学 | Rejectable radar HRRP target recognition method based on CNN |
CN110245608A (en) * | 2019-06-14 | 2019-09-17 | 西北工业大学 | A Method of Underwater Target Recognition Based on Semi-tensor Product Neural Network |
CN110334741A (en) * | 2019-06-06 | 2019-10-15 | 西安电子科技大学 | Recognition Method of Radar One-Dimensional Range Profile Based on Recurrent Neural Network |
CN111126570A (en) * | 2019-12-24 | 2020-05-08 | 江西理工大学 | SAR target classification method based on pretrained complex fully convolutional neural network |
CN112329538A (en) * | 2020-10-10 | 2021-02-05 | 杭州电子科技大学 | A Target Classification Method Based on Microwave Vision |
Family Cites Families (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US11585896B2 (en) * | 2019-02-04 | 2023-02-21 | Metawave Corporation | Motion-based object detection in a vehicle radar using convolutional neural network systems |
US11852750B2 (en) * | 2019-06-28 | 2023-12-26 | Smart Radar System, Inc. | Method and apparatus for radar signal processing using recurrent neural network |
CN110969121A (en) * | 2019-11-29 | 2020-04-07 | 长沙理工大学 | High-resolution radar target recognition algorithm based on deep learning |
CN111768340B (en) * | 2020-06-30 | 2023-12-01 | 苏州大学 | Super-resolution image reconstruction method and system based on dense multipath network |
-
2021
- 2021-03-02 CN CN202110230325.9A patent/CN113109780B/en active Active
Patent Citations (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106934419A (en) * | 2017-03-09 | 2017-07-07 | 西安电子科技大学 | Classification of Polarimetric SAR Image method based on plural profile ripple convolutional neural networks |
CN107728142A (en) * | 2017-09-18 | 2018-02-23 | 西安电子科技大学 | Radar High Range Resolution target identification method based on two-dimensional convolution network |
CN109086700A (en) * | 2018-07-20 | 2018-12-25 | 杭州电子科技大学 | Radar range profile's target identification method based on depth convolutional neural networks |
CN109376574A (en) * | 2018-08-14 | 2019-02-22 | 西安电子科技大学 | Rejectable radar HRRP target recognition method based on CNN |
CN110334741A (en) * | 2019-06-06 | 2019-10-15 | 西安电子科技大学 | Recognition Method of Radar One-Dimensional Range Profile Based on Recurrent Neural Network |
CN110245608A (en) * | 2019-06-14 | 2019-09-17 | 西北工业大学 | A Method of Underwater Target Recognition Based on Semi-tensor Product Neural Network |
CN111126570A (en) * | 2019-12-24 | 2020-05-08 | 江西理工大学 | SAR target classification method based on pretrained complex fully convolutional neural network |
CN112329538A (en) * | 2020-10-10 | 2021-02-05 | 杭州电子科技大学 | A Target Classification Method Based on Microwave Vision |
Non-Patent Citations (5)
Title |
---|
A novel feature vector using complex HRRP for radar target recognition;Du, Lan等;《ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS》;20071031;全文 * |
Radar HRRP recognition based on CNN;Jia Song等;《The Journal of Engineering》;20191231;全文 * |
基于复数域深度学习的SAR舰船目标识别方法研究;化青龙;《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》;20210115;全文 * |
基于复数网路的雷达高分辨距离向目标识别方法研究;李婉萍;《中国优秀硕士学位论文全文数据库信息科技辑》;20200215;全文 * |
基于统计建模的雷达高分辨距离向目标识别方法研究;王鹏辉;《中国优秀博硕士学位论文全文数据库(博士)信息科技辑》;20130415;全文 * |
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